PLEASE INCLUDE VISUALS

I have an electron that I want to put in a rigid box. How small do I need to make the box so that the speed of my electron in its ground state inside the box will be equal to the speed of light? [Don't worry about relativitydo the calculation with our usual non-relativistic equation(s).]

Sketch the situation, defining all your variables. Include a sketch of U(x) and (x).

What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.

Apply your equation(s) to solve the problem as an algebraic expression(s).

Calculate your numerical answer(s). Show the units of your answer(s), and how you got them.

2. A proton is confined in box whose width is d = 750 nm. It is in the n = 3 energy state. What is the probability that the proton will be found within a distance of d/n from one of the walls? [Hint: the average value sin2x over one or more of its cycles is 1/2.] Sketch the situation, defining all your variables.

Include a sketch of U(x) and (x).

What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.

Apply your equation(s) to solve the problem as an algebraic expression(s).

Calculate your numerical answer(s). Show the units of your answer(s), and how you got them